Question

p ki power 4 -(p+q)ki power 4

Answer 1

Hello Mate!

= p⁴ - ( p + q )⁴

= (p²)² - [( p + q )²]²

= [ p² + ( p + q )² ][ p² - ( p + q )² ]

= [ p² + p² + q² + 2pq ][( p + p + q )( p - p - q )]

= ( 2p² + q² + 2pq )( 2p + q )( - q )

= - q ( 2p² + q² + 2pq )( 2p + q )

Have great future ahead!

Answer 2

Given polynomial :

p⁴ - ( p + q )⁴

To Do :

Simplify

Simplification :


= p⁴ - ( p + q )⁴

= (p²)² - {( p + q )²}²

= {p² + ( p + q )² }{p² - ( p + q )²}

= {p² + p² + q² + 2pq }{( p + p + q )( p - p - q )}

= ( 2p² + q² + 2pq )( 2p + q )( - q )

= - q( 2p² + q² + 2pq )( 2p + q )

What is a polynomial ?

=> An algebraic expression which is having the exponent of each and every term as a whole number.

Eg : 2 , 6x , X+2y

★ AhseFurieux ★